Problema Solution

One angle is 21 less than 2 times another. Find the measure of each angle if:

a. They are complements of each other.

b. They are supplements of each other.

Answer provided by our tutors

let 'x' represent one angle, then '2x-21' represents the other


if they are complements of each other:

x + 2x-21 = 90

solving for 'x' we have x=37


90 - 37 = 53


the angles are 37 and 53



if they are supplements of each other:

x + 2x-21 = 180

solving for 'x' we have x=67


180 - 67 = 113


the angles are 67 and 113